{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "aa03fc2c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.linear_model import LinearRegression\n",
    "import random\n",
    "from statsmodels.tsa.stattools import adfuller, kpss\n",
    "import math\n",
    "from scipy.stats import linregress"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9fb23980",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_edges = pd.read_excel(\"bibliodata.xlsx\")\n",
    "df_actors = pd.read_excel (\"9.DataBoletinReviewsNetwork.xlsx\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "80648836",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_edges = df_edges.drop_duplicates(subset=['book_title'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "13f8d1f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0.1</th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>text_title</th>\n",
       "      <th>year</th>\n",
       "      <th>reviewer</th>\n",
       "      <th>text_id</th>\n",
       "      <th>original_summary</th>\n",
       "      <th>book_title</th>\n",
       "      <th>author</th>\n",
       "      <th>book_publisher</th>\n",
       "      <th>...</th>\n",
       "      <th>book_year</th>\n",
       "      <th>authors_list</th>\n",
       "      <th>len title</th>\n",
       "      <th>reviewers_list</th>\n",
       "      <th>subject</th>\n",
       "      <th>subject_key</th>\n",
       "      <th>lcc_sort</th>\n",
       "      <th>lccn</th>\n",
       "      <th>id_goodreads</th>\n",
       "      <th>open_library</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>118</td>\n",
       "      <td>3687</td>\n",
       "      <td>Un libro-mortaja</td>\n",
       "      <td>2021</td>\n",
       "      <td>mateo navia hoyos</td>\n",
       "      <td>100148</td>\n",
       "      <td>1989. maría elvira samper. planeta, bogotá, 20...</td>\n",
       "      <td>1989</td>\n",
       "      <td>maria elvira samper</td>\n",
       "      <td>planeta</td>\n",
       "      <td>...</td>\n",
       "      <td>2019</td>\n",
       "      <td>['maria elvira samper']</td>\n",
       "      <td>4.0</td>\n",
       "      <td>['mateo navia hoyos']</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>/books/OL44260376M</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1221</td>\n",
       "      <td>994</td>\n",
       "      <td>Dolor, violencia, horror</td>\n",
       "      <td>1995</td>\n",
       "      <td>dora cecilia ramirez</td>\n",
       "      <td>6028</td>\n",
       "      <td>\\n\\t\\t\\t\\t\\t&amp;ellas &amp;ellos, ángela maría pérez ...</td>\n",
       "      <td>ellas &amp; ellos: algunas caras femeninas</td>\n",
       "      <td>angela maria perez beltran</td>\n",
       "      <td>soluciones editoriales</td>\n",
       "      <td>...</td>\n",
       "      <td>1994</td>\n",
       "      <td>['angela maria perez beltran']</td>\n",
       "      <td>38.0</td>\n",
       "      <td>['dora cecilia ramirez']</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1531</td>\n",
       "      <td>1304</td>\n",
       "      <td>\"Los verdaderos caballeros jamás trabajan\", de...</td>\n",
       "      <td>1998</td>\n",
       "      <td>luis h aristizabal</td>\n",
       "      <td>5629</td>\n",
       "      <td>\\n ...y se hizo la noche sobre ti. enrique dáv...</td>\n",
       "      <td>...y se hizo la noche sobre ti</td>\n",
       "      <td>enrique davila martinez</td>\n",
       "      <td>tercer mundo</td>\n",
       "      <td>...</td>\n",
       "      <td>1997</td>\n",
       "      <td>['enrique davila martinez']</td>\n",
       "      <td>30.0</td>\n",
       "      <td>['luis h aristizabal']</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['97174872']</td>\n",
       "      <td>['5343112']</td>\n",
       "      <td>/books/OL774525M</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2531</td>\n",
       "      <td>2344</td>\n",
       "      <td>¡Pffffff...!: una antología desinflada</td>\n",
       "      <td>2004</td>\n",
       "      <td>carlos soler</td>\n",
       "      <td>3987</td>\n",
       "      <td>\\n\\t\\t\\t\\t\\t¡aaaaaahhh...! doce relatos erótic...</td>\n",
       "      <td>¡aaaaaahhh...! doce relatos eróticos.</td>\n",
       "      <td>varios autores</td>\n",
       "      <td>planeta</td>\n",
       "      <td>...</td>\n",
       "      <td>2002</td>\n",
       "      <td>['varios autores ']</td>\n",
       "      <td>37.0</td>\n",
       "      <td>['carlos soler']</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1286</td>\n",
       "      <td>1059</td>\n",
       "      <td>Un conjunto de anécdotas</td>\n",
       "      <td>2007</td>\n",
       "      <td>adolfo gonzalez henriquez</td>\n",
       "      <td>5955</td>\n",
       "      <td>\\n\\t\\t\\t\\t\\t¡baila, negro, baila! crónica de u...</td>\n",
       "      <td>¡baila, negro, baila! crónica de un salsero</td>\n",
       "      <td>rafael araujo gamez</td>\n",
       "      <td>universidad libre</td>\n",
       "      <td>...</td>\n",
       "      <td>2007</td>\n",
       "      <td>['rafael araujo gamez']</td>\n",
       "      <td>43.0</td>\n",
       "      <td>['adolfo gonzalez henriquez']</td>\n",
       "      <td>['Salsa (Dance)', 'Fiction']</td>\n",
       "      <td>['fiction', 'salsa_(dance)']</td>\n",
       "      <td>PQ-8180.10000000.R165 B3 2007</td>\n",
       "      <td>['2007470232']</td>\n",
       "      <td>NaN</td>\n",
       "      <td>/books/OL16750076M</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0.1  Unnamed: 0  \\\n",
       "0           118        3687   \n",
       "1          1221         994   \n",
       "2          1531        1304   \n",
       "3          2531        2344   \n",
       "4          1286        1059   \n",
       "\n",
       "                                          text_title  year  \\\n",
       "0                                  Un libro-mortaja   2021   \n",
       "1                           Dolor, violencia, horror  1995   \n",
       "2  \"Los verdaderos caballeros jamás trabajan\", de...  1998   \n",
       "3             ¡Pffffff...!: una antología desinflada  2004   \n",
       "4                           Un conjunto de anécdotas  2007   \n",
       "\n",
       "                    reviewer  text_id  \\\n",
       "0          mateo navia hoyos   100148   \n",
       "1       dora cecilia ramirez     6028   \n",
       "2         luis h aristizabal     5629   \n",
       "3               carlos soler     3987   \n",
       "4  adolfo gonzalez henriquez     5955   \n",
       "\n",
       "                                    original_summary  \\\n",
       "0  1989. maría elvira samper. planeta, bogotá, 20...   \n",
       "1  \\n\\t\\t\\t\\t\\t&ellas &ellos, ángela maría pérez ...   \n",
       "2  \\n ...y se hizo la noche sobre ti. enrique dáv...   \n",
       "3  \\n\\t\\t\\t\\t\\t¡aaaaaahhh...! doce relatos erótic...   \n",
       "4  \\n\\t\\t\\t\\t\\t¡baila, negro, baila! crónica de u...   \n",
       "\n",
       "                                    book_title                      author  \\\n",
       "0                                         1989         maria elvira samper   \n",
       "1       ellas & ellos: algunas caras femeninas  angela maria perez beltran   \n",
       "2               ...y se hizo la noche sobre ti     enrique davila martinez   \n",
       "3        ¡aaaaaahhh...! doce relatos eróticos.             varios autores    \n",
       "4  ¡baila, negro, baila! crónica de un salsero         rafael araujo gamez   \n",
       "\n",
       "           book_publisher  ... book_year                    authors_list  \\\n",
       "0                 planeta  ...      2019         ['maria elvira samper']   \n",
       "1  soluciones editoriales  ...      1994  ['angela maria perez beltran']   \n",
       "2            tercer mundo  ...      1997     ['enrique davila martinez']   \n",
       "3                 planeta  ...      2002             ['varios autores ']   \n",
       "4       universidad libre  ...      2007         ['rafael araujo gamez']   \n",
       "\n",
       "  len title                 reviewers_list                       subject  \\\n",
       "0       4.0          ['mateo navia hoyos']                           NaN   \n",
       "1      38.0       ['dora cecilia ramirez']                           NaN   \n",
       "2      30.0         ['luis h aristizabal']                           NaN   \n",
       "3      37.0               ['carlos soler']                           NaN   \n",
       "4      43.0  ['adolfo gonzalez henriquez']  ['Salsa (Dance)', 'Fiction']   \n",
       "\n",
       "                    subject_key                       lcc_sort  \\\n",
       "0                           NaN                            NaN   \n",
       "1                           NaN                            NaN   \n",
       "2                           NaN                            NaN   \n",
       "3                           NaN                            NaN   \n",
       "4  ['fiction', 'salsa_(dance)']  PQ-8180.10000000.R165 B3 2007   \n",
       "\n",
       "             lccn id_goodreads        open_library  \n",
       "0             NaN          NaN  /books/OL44260376M  \n",
       "1             NaN          NaN                 NaN  \n",
       "2    ['97174872']  ['5343112']    /books/OL774525M  \n",
       "3             NaN          NaN                 NaN  \n",
       "4  ['2007470232']          NaN  /books/OL16750076M  \n",
       "\n",
       "[5 rows x 21 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_edges.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ab328812",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3239, 21)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_edges.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b66edee0",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_edges = df_edges[[\"reviewers_list\",\"authors_list\",\"year\",\"author\",\"reviewer\"]]\n",
    "df_edges = df_edges.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e969b8fd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a mapping of actors (authors and reviewers) to their genders\n",
    "actor_gender_mapping = {}\n",
    "for index, row in df_actors.iterrows():\n",
    "    try:\n",
    "\n",
    "        names = row['name_variations'].split(',')\n",
    "        for name in names:\n",
    "            actor_gender_mapping[name.strip()] = row['gender']\n",
    "    except:\n",
    "        print (row[\"name_variations\"])\n",
    "\n",
    "# Step 2: Merge gender information with the \"df_edges\" dataframe\n",
    "df_edges['author_gender'] = df_edges['author'].map(actor_gender_mapping)\n",
    "df_edges['reviewer_gender'] = df_edges['reviewer'].map(actor_gender_mapping)\n",
    "df_edges = df_edges.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1c8779dc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pandas.core.frame.DataFrame"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(df_edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "61d84095",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add a new column to df_edges to classify reviews based on reviewer and author genders\n",
    "df_edges['review_reviewers_and_authors_gender1'] = df_edges.apply(lambda row: \n",
    "    'F->M' if row['reviewer_gender'] == 'f' and row['author_gender'] == 'm' else\n",
    "    'M->F' if row['reviewer_gender'] == 'm' and row['author_gender'] == 'f' else\n",
    "    'F->F' if row['reviewer_gender'] == 'f' and row['author_gender'] == 'f' else\n",
    "    'M->M' if row['reviewer_gender'] == 'm' and row['author_gender'] == 'm' else\n",
    "    'NA', axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1bc1b3cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add a new column to df_edges to classify reviews based on reviewer and author genders\n",
    "df_edges['reviewer_author_gender_classification2'] = df_edges.apply(lambda row: \n",
    "    'different_gender' if row['reviewer_gender'] == 'f' and row['author_gender'] == 'm' else\n",
    "    'different_gender' if row['reviewer_gender'] == 'm' and row['author_gender'] == 'f' else\n",
    "    'same_gender' if row['reviewer_gender'] == 'f' and row['author_gender'] == 'f' else\n",
    "    'same_gender' if row['reviewer_gender'] == 'm' and row['author_gender'] == 'm' else\n",
    "    'NA', axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3f71b06a",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>reviewers_list</th>\n",
       "      <th>authors_list</th>\n",
       "      <th>year</th>\n",
       "      <th>author</th>\n",
       "      <th>reviewer</th>\n",
       "      <th>author_gender</th>\n",
       "      <th>reviewer_gender</th>\n",
       "      <th>review_reviewers_and_authors_gender1</th>\n",
       "      <th>reviewer_author_gender_classification2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>['mateo navia hoyos']</td>\n",
       "      <td>['maria elvira samper']</td>\n",
       "      <td>2021</td>\n",
       "      <td>maria elvira samper</td>\n",
       "      <td>mateo navia hoyos</td>\n",
       "      <td>f</td>\n",
       "      <td>m</td>\n",
       "      <td>M-&gt;F</td>\n",
       "      <td>different_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>['dora cecilia ramirez']</td>\n",
       "      <td>['angela maria perez beltran']</td>\n",
       "      <td>1995</td>\n",
       "      <td>angela maria perez beltran</td>\n",
       "      <td>dora cecilia ramirez</td>\n",
       "      <td>f</td>\n",
       "      <td>f</td>\n",
       "      <td>F-&gt;F</td>\n",
       "      <td>same_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>['luis h aristizabal']</td>\n",
       "      <td>['enrique davila martinez']</td>\n",
       "      <td>1998</td>\n",
       "      <td>enrique davila martinez</td>\n",
       "      <td>luis h aristizabal</td>\n",
       "      <td>m</td>\n",
       "      <td>m</td>\n",
       "      <td>M-&gt;M</td>\n",
       "      <td>same_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>['adolfo gonzalez henriquez']</td>\n",
       "      <td>['rafael araujo gamez']</td>\n",
       "      <td>2007</td>\n",
       "      <td>rafael araujo gamez</td>\n",
       "      <td>adolfo gonzalez henriquez</td>\n",
       "      <td>m</td>\n",
       "      <td>m</td>\n",
       "      <td>M-&gt;M</td>\n",
       "      <td>same_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>['mario jursich duran']</td>\n",
       "      <td>['fanny buitrago']</td>\n",
       "      <td>1990</td>\n",
       "      <td>fanny buitrago</td>\n",
       "      <td>mario jursich duran</td>\n",
       "      <td>f</td>\n",
       "      <td>m</td>\n",
       "      <td>M-&gt;F</td>\n",
       "      <td>different_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3372</th>\n",
       "      <td>['maryluz vallejo mejia']</td>\n",
       "      <td>['mario hernan lopez']</td>\n",
       "      <td>2016</td>\n",
       "      <td>mario hernan lopez</td>\n",
       "      <td>maryluz vallejo mejia</td>\n",
       "      <td>m</td>\n",
       "      <td>f</td>\n",
       "      <td>F-&gt;M</td>\n",
       "      <td>different_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3373</th>\n",
       "      <td>['juan gustavo cobo borda']</td>\n",
       "      <td>['gabriel garcia marquez']</td>\n",
       "      <td>2012</td>\n",
       "      <td>gabriel garcia marquez</td>\n",
       "      <td>juan gustavo cobo borda</td>\n",
       "      <td>m</td>\n",
       "      <td>m</td>\n",
       "      <td>M-&gt;M</td>\n",
       "      <td>same_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3374</th>\n",
       "      <td>['santiago tobon']</td>\n",
       "      <td>['arturo alape']</td>\n",
       "      <td>2003</td>\n",
       "      <td>arturo alape</td>\n",
       "      <td>santiago tobon</td>\n",
       "      <td>m</td>\n",
       "      <td>m</td>\n",
       "      <td>M-&gt;M</td>\n",
       "      <td>same_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3376</th>\n",
       "      <td>['nelly rocio amaya mendez']</td>\n",
       "      <td>['antonio ungar']</td>\n",
       "      <td>2006</td>\n",
       "      <td>antonio ungar</td>\n",
       "      <td>nelly rocio amaya mendez</td>\n",
       "      <td>m</td>\n",
       "      <td>f</td>\n",
       "      <td>F-&gt;M</td>\n",
       "      <td>different_gender</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3378</th>\n",
       "      <td>['martha enna rodriguez melo']</td>\n",
       "      <td>['alejandro morales velez']</td>\n",
       "      <td>2015</td>\n",
       "      <td>alejandro morales velez</td>\n",
       "      <td>martha enna rodriguez melo</td>\n",
       "      <td>m</td>\n",
       "      <td>f</td>\n",
       "      <td>F-&gt;M</td>\n",
       "      <td>different_gender</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2302 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                      reviewers_list                    authors_list  year  \\\n",
       "0              ['mateo navia hoyos']         ['maria elvira samper']  2021   \n",
       "1           ['dora cecilia ramirez']  ['angela maria perez beltran']  1995   \n",
       "2             ['luis h aristizabal']     ['enrique davila martinez']  1998   \n",
       "4      ['adolfo gonzalez henriquez']         ['rafael araujo gamez']  2007   \n",
       "7            ['mario jursich duran']              ['fanny buitrago']  1990   \n",
       "...                              ...                             ...   ...   \n",
       "3372       ['maryluz vallejo mejia']          ['mario hernan lopez']  2016   \n",
       "3373     ['juan gustavo cobo borda']      ['gabriel garcia marquez']  2012   \n",
       "3374              ['santiago tobon']                ['arturo alape']  2003   \n",
       "3376    ['nelly rocio amaya mendez']               ['antonio ungar']  2006   \n",
       "3378  ['martha enna rodriguez melo']     ['alejandro morales velez']  2015   \n",
       "\n",
       "                          author                    reviewer author_gender  \\\n",
       "0            maria elvira samper           mateo navia hoyos             f   \n",
       "1     angela maria perez beltran        dora cecilia ramirez             f   \n",
       "2        enrique davila martinez          luis h aristizabal             m   \n",
       "4            rafael araujo gamez   adolfo gonzalez henriquez             m   \n",
       "7                 fanny buitrago         mario jursich duran             f   \n",
       "...                          ...                         ...           ...   \n",
       "3372          mario hernan lopez       maryluz vallejo mejia             m   \n",
       "3373      gabriel garcia marquez     juan gustavo cobo borda             m   \n",
       "3374                arturo alape              santiago tobon             m   \n",
       "3376               antonio ungar    nelly rocio amaya mendez             m   \n",
       "3378     alejandro morales velez  martha enna rodriguez melo             m   \n",
       "\n",
       "     reviewer_gender review_reviewers_and_authors_gender1  \\\n",
       "0                  m                                 M->F   \n",
       "1                  f                                 F->F   \n",
       "2                  m                                 M->M   \n",
       "4                  m                                 M->M   \n",
       "7                  m                                 M->F   \n",
       "...              ...                                  ...   \n",
       "3372               f                                 F->M   \n",
       "3373               m                                 M->M   \n",
       "3374               m                                 M->M   \n",
       "3376               f                                 F->M   \n",
       "3378               f                                 F->M   \n",
       "\n",
       "     reviewer_author_gender_classification2  \n",
       "0                          different_gender  \n",
       "1                               same_gender  \n",
       "2                               same_gender  \n",
       "4                               same_gender  \n",
       "7                          different_gender  \n",
       "...                                     ...  \n",
       "3372                       different_gender  \n",
       "3373                            same_gender  \n",
       "3374                            same_gender  \n",
       "3376                       different_gender  \n",
       "3378                       different_gender  \n",
       "\n",
       "[2302 rows x 9 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_edges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3764eb14",
   "metadata": {},
   "outputs": [],
   "source": [
    "review_type_counts1 = df_edges['review_reviewers_and_authors_gender1'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0c71e3b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1652,  284,  250,   89,   27])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(review_type_counts1.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "3309a528",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reviewers diversity results\n",
      "reviewer_author_gender_classification2\n",
      "same_gender         1741\n",
      "different_gender     534\n",
      "NA                    27\n",
      "Name: count, dtype: int64\n",
      "Shannon Diversity Index: 0.7861580051287085\n",
      "Shannon Equitability Index: 0.7861580051287085\n",
      "Simpson Diversity Index: 1.5606921338854851\n",
      "Number of categories: 2\n",
      "Sum of elements in yearly_homophily: 2275\n"
     ]
    }
   ],
   "source": [
    "review_type_counts2 = df_edges['reviewer_author_gender_classification2'].value_counts()\n",
    "review_type_counts2_filtered = review_type_counts2[review_type_counts2.index != 'NA']\n",
    "\n",
    "print (\"Reviewers diversity results\")\n",
    "print (review_type_counts2)\n",
    "\n",
    "def shannon_diversity(counts):\n",
    "    \"\"\"\n",
    "    Calculate Shannon Diversity Index for a given set of counts.\n",
    "\n",
    "    Parameters:\n",
    "    - counts: List of integers representing the number of instances per category.\n",
    "\n",
    "    Returns:\n",
    "    - Shannon Diversity Index (float).\n",
    "    \"\"\"\n",
    "    total_count = sum(counts)\n",
    "    proportions = [count / total_count for count in counts if count > 0]  # Exclude zero counts\n",
    "    shannon_index = -sum(p * math.log2(p) for p in proportions)\n",
    "    \n",
    "    return shannon_index\n",
    "\n",
    "def shannon_equitability_index(counts):\n",
    "    \"\"\"\n",
    "    Calculate Shannon Equitability Index for a given set of counts.\n",
    "\n",
    "    Parameters:\n",
    "    - counts: List of integers representing the number of instances per category.\n",
    "\n",
    "    Returns:\n",
    "    - Shannon Equitability Index (float).\n",
    "    \"\"\"\n",
    "    total_count = sum(counts)\n",
    "    num_categories = len(counts)\n",
    "    max_diversity = math.log2(num_categories)\n",
    "    shannon_index = shannon_diversity(counts)\n",
    "    shannon_equitability = shannon_index / max_diversity\n",
    "    \n",
    "    return shannon_equitability\n",
    "\n",
    "def simpson_diversity_index(counts):\n",
    "    \"\"\"\n",
    "    Calculate Simpson Diversity Index for a given set of counts.\n",
    "\n",
    "    Parameters:\n",
    "    - counts: List of integers representing the number of instances per category.\n",
    "\n",
    "    Returns:\n",
    "    - Simpson Diversity Index (float).\n",
    "    \"\"\"\n",
    "    total_count = sum(counts)\n",
    "    probability_squared = [(count / total_count) ** 2 for count in counts]\n",
    "    simpson_index = 1 / sum(probability_squared)\n",
    "    \n",
    "    return simpson_index\n",
    "\n",
    "\n",
    "shannon_diversity_edges_homophily = shannon_diversity(review_type_counts2_filtered.values)\n",
    "print(f\"Shannon Diversity Index: {shannon_diversity_edges_homophily}\")\n",
    "\n",
    "shannon_equitability_reviewers = shannon_equitability_index(review_type_counts2_filtered.values)\n",
    "print(f\"Shannon Equitability Index: {shannon_equitability_reviewers}\")\n",
    "\n",
    "simpson_gender_edges_homophily = simpson_diversity_index(review_type_counts2_filtered.values)\n",
    "print(f\"Simpson Diversity Index: {simpson_gender_edges_homophily}\")\n",
    "\n",
    "num_elements = len(review_type_counts2_filtered)\n",
    "print(\"Number of categories:\", num_elements)\n",
    "sum_elements = sum(review_type_counts2_filtered)\n",
    "print(\"Sum of elements in yearly_homophily:\", sum_elements)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "029587b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "reviewer_author_gender_classification2\n",
      "same_gender         1741\n",
      "different_gender     534\n",
      "NA                    27\n",
      "Name: count, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print (review_type_counts2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "b471e3fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "review_reviewers_and_authors_gender1\n",
       "M->M    1652\n",
       "M->F     284\n",
       "F->M     250\n",
       "F->F      89\n",
       "NA        27\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "review_type_counts1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "1f9a07d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filter the DataFrame to include only rows with \"m\" (males) and \"f\" (females)\n",
    "male_homophily = df_edges[df_edges['reviewer_gender'] == 'm'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "female_homophily = df_edges[df_edges['reviewer_gender'] == 'f'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "\n",
    "# Calculate yearly gender homophily\n",
    "yearly_homophily = df_edges.groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "\n",
    "# Create a figure and plot the gender homophily comparison\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(male_homophily.index, male_homophily.values, label='Male Homophily', color= \"cyan\", marker='o')\n",
    "plt.scatter(female_homophily.index, female_homophily.values, label='Female Homophily', color = \"orange\", marker='o')\n",
    "\n",
    "# Plot yearly gender homophily as a trendline\n",
    "plt.scatter(yearly_homophily.index, yearly_homophily.values, label='yearly Homophily', color='purple', marker= \"o\")\n",
    "\n",
    "# Add linear regression lines\n",
    "def plot_regression_line(x, y, label, linestyle='solid', color= \"blue\"):\n",
    "    model = LinearRegression().fit(x.reshape(-1, 1), y)\n",
    "    y_pred = model.predict(x.reshape(-1, 1))\n",
    "    plt.plot(x, y_pred, label=label, linestyle= linestyle, color=color, alpha= 0.75)\n",
    "\n",
    "# Calculate and plot linear regression lines\n",
    "plot_regression_line(np.array(male_homophily.index), male_homophily.values, 'Male Homophily Trend', color=\"cyan\", linestyle='--')\n",
    "plot_regression_line(np.array(female_homophily.index), female_homophily.values, 'Female Homophily Trend', color=\"orange\",linestyle='--')\n",
    "plot_regression_line(np.array(yearly_homophily.index), yearly_homophily.values, 'yearly Homophily Trend',color= \"purple\",linestyle='--')\n",
    "\n",
    "plt.title('Comparison of Reviewers Gender Homophily with Trends')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Gender Homophily (Proportion)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c82eda4b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filter the DataFrame to include only rows with \"m\" (males) and \"f\" (females)\n",
    "\n",
    "# Create a figure and plot the gender homophily comparison\n",
    "\n",
    "# Plot yearly gender homophily as a trendline\n",
    "plt.scatter(yearly_homophily.index, yearly_homophily.values, label='yearly Homophily', color='purple', marker= \"o\")\n",
    "\n",
    "\n",
    "# Calculate and plot linear regression lines\n",
    "plot_regression_line(np.array(yearly_homophily.index), yearly_homophily.values, 'yearly Homophily Trend',color= \"purple\",linestyle='--')\n",
    "\n",
    "plt.title('Comparison of Reviewers Gender Homophily with Trends')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Gender Homophily (Proportion)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "621c04f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f38775cc050>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate yearly gender homophily\n",
    "plt.plot(yearly_homophily.index, yearly_homophily.values, label='yearly Homophily', color='purple', linestyle='--')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "3f76d78c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filter the DataFrame to include only rows with \"m\" (males) and \"f\" (females)\n",
    "male_homophily = df_edges[df_edges['reviewer_gender'] == 'm'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "female_homophily = df_edges[df_edges['reviewer_gender'] == 'f'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "\n",
    "\n",
    "# Create a figure and plot the gender homophily comparison\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(male_homophily.index, male_homophily.values, label='Male Homophily', marker='o')\n",
    "plt.plot(female_homophily.index, female_homophily.values, label='Female Homophily', marker='o')\n",
    "\n",
    "# Plot yearly gender homophily as a trendline\n",
    "plt.plot(yearly_homophily.index, yearly_homophily.values, label='yearly Homophily', color='purple', linestyle='--')\n",
    "\n",
    "plt.title('Reviewers Gender Homophily')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Gender Homophily (Proportion)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "469d080c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Male Reviewers Homophily Regression:\n",
      "Slope (Coefficient): -0.003607858422234727\n",
      "\n",
      "Female Reviewers Homophily Regression:\n",
      "Slope (Coefficient): 0.002616788965061887\n"
     ]
    }
   ],
   "source": [
    "# Fit linear regression models\n",
    "male_model = LinearRegression().fit(np.array(male_homophily.index).reshape(-1, 1), male_homophily.values)\n",
    "female_model = LinearRegression().fit(np.array(female_homophily.index).reshape(-1, 1), female_homophily.values)\n",
    "\n",
    "# Print regression coefficients (slopes)\n",
    "print(\"Male Reviewers Homophily Regression:\")\n",
    "print(\"Slope (Coefficient):\", male_model.coef_[0])\n",
    "\n",
    "print(\"\\nFemale Reviewers Homophily Regression:\")\n",
    "print(\"Slope (Coefficient):\", female_model.coef_[0])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "eb1fa7a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "year\n",
       "1984    0.828571\n",
       "1985    0.703704\n",
       "1986    0.769231\n",
       "1987    0.771084\n",
       "1988    0.750000\n",
       "1989    0.780000\n",
       "1990    0.821429\n",
       "1991    0.772727\n",
       "1992    0.852459\n",
       "1993    0.800000\n",
       "1994    0.690476\n",
       "1995    0.709091\n",
       "1996    0.762712\n",
       "1997    0.627451\n",
       "1998    0.824561\n",
       "1999    0.841270\n",
       "2001    0.857143\n",
       "2002    0.711538\n",
       "2003    0.854545\n",
       "2004    0.791667\n",
       "2005    0.732558\n",
       "2006    0.813559\n",
       "2007    0.768293\n",
       "2008    0.756098\n",
       "2011    0.678571\n",
       "2012    0.620690\n",
       "2013    0.843750\n",
       "2014    0.760000\n",
       "2015    0.766990\n",
       "2016    0.742857\n",
       "2017    0.656250\n",
       "2018    0.655914\n",
       "2019    0.793103\n",
       "2020    0.736842\n",
       "2021    0.661972\n",
       "2022    0.694444\n",
       "dtype: float64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yearly_homophily"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a4b0ec4a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "year\n",
       "1984    0.828571\n",
       "1985    0.703704\n",
       "1986    0.769231\n",
       "1987    0.771084\n",
       "1988    0.750000\n",
       "1989    0.780000\n",
       "1990    0.821429\n",
       "1991    0.772727\n",
       "1992    0.852459\n",
       "1993    0.800000\n",
       "1994    0.690476\n",
       "1995    0.709091\n",
       "1996    0.762712\n",
       "1997    0.627451\n",
       "1998    0.824561\n",
       "1999    0.841270\n",
       "2001    0.857143\n",
       "2002    0.711538\n",
       "2003    0.854545\n",
       "2004    0.791667\n",
       "2005    0.732558\n",
       "2006    0.813559\n",
       "2007    0.768293\n",
       "2008    0.756098\n",
       "2011    0.678571\n",
       "2012    0.620690\n",
       "2013    0.843750\n",
       "2014    0.760000\n",
       "2015    0.766990\n",
       "2016    0.742857\n",
       "2017    0.656250\n",
       "2018    0.655914\n",
       "2019    0.793103\n",
       "2020    0.736842\n",
       "2021    0.661972\n",
       "2022    0.694444\n",
       "dtype: float64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yearly_homophily"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0269d155",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dependent_variable_entropy_actors_gender_homophily = yearly_homophily\n",
    "\n",
    "# Add NaN values to specific years\n",
    "dependent_variable_entropy_actors_gender_homophily.loc[\"2000\"]= np.nan\n",
    "dependent_variable_entropy_actors_gender_homophily.loc[\"2009\"]= np.nan\n",
    "dependent_variable_entropy_actors_gender_homophily.loc[\"2010\"]= np.nan\n",
    "\n",
    "# Convert the index to numeric if possble\n",
    "dependent_variable_entropy_actors_gender_homophily.index = pd.to_numeric(dependent_variable_entropy_actors_gender_homophily.index, errors='coerce')\n",
    "\n",
    "# Sort the Series by the index\n",
    "dependent_variable_entropy_actors_gender_homophily.sort_index(inplace=True)\n",
    "\n",
    "# Plot the yearly entropy values\n",
    "dependent_variable_entropy_actors_gender_homophily.plot(kind='bar', title='Entropy of actors gender homophily')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e3f72aa3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Augmented Dickey-Fuller Test for Dependent Variable Entropy Actors Gender Homophily:\n",
      "ADF Statistic: -5.215544578102226\n",
      "p-value: 8.171844332574851e-06\n",
      "Critical Values:\n",
      "   1%: -3.6327426647230316\n",
      "   5%: -2.9485102040816327\n",
      "   10%: -2.6130173469387756\n",
      "Reject null hypothesis: Data is stationary\n",
      "\n",
      "\n",
      "KPSS Test for Dependent Variable Entropy Actors Gender Homophily:\n",
      "KPSS Statistic: 0.43772523909325683\n",
      "p-value: 0.06089429349428586\n",
      "Critical Values:\n",
      "   10%: 0.347\n",
      "   5%: 0.463\n",
      "   2.5%: 0.574\n",
      "   1%: 0.739\n",
      "Fail to reject null hypothesis: Data is stationary\n"
     ]
    }
   ],
   "source": [
    "# Function to conduct the Augmented Dickey-Fuller (ADF) test\n",
    "def adf_test(data, variable_name):\n",
    "    result = adfuller(data)\n",
    "    print(f\"Augmented Dickey-Fuller Test for {variable_name}:\")\n",
    "    print(\"ADF Statistic:\", result[0])\n",
    "    print(\"p-value:\", result[1])\n",
    "    print(\"Critical Values:\")\n",
    "    for key, value in result[4].items():\n",
    "        print(f\"   {key}: {value}\")\n",
    "    if result[1] < 0.05:\n",
    "        print(\"Reject null hypothesis: Data is stationary\")\n",
    "    else:\n",
    "        print(\"Fail to reject null hypothesis: Data is non-stationary\")\n",
    "\n",
    "# Function to conduct the Kwiatkowski-Phillips-Schmidt-Shin (KPSS) test\n",
    "def kpss_test(data, variable_name):\n",
    "    result = kpss(data)\n",
    "    print(f\"KPSS Test for {variable_name}:\")\n",
    "    print(\"KPSS Statistic:\", result[0])\n",
    "    print(\"p-value:\", result[1])\n",
    "    print(\"Critical Values:\")\n",
    "    for key, value in result[3].items():\n",
    "        print(f\"   {key}: {value}\")\n",
    "    if result[1] > 0.05:\n",
    "        print(\"Fail to reject null hypothesis: Data is stationary\")\n",
    "    else:\n",
    "        print(\"Reject null hypothesis: Data is non-stationary\")\n",
    "\n",
    "# Apply the ADF and KPSS tests to the data\n",
    "non_zero_homophily = dependent_variable_entropy_actors_gender_homophily[~((dependent_variable_entropy_actors_gender_homophily == 0) | \n",
    "                                                                            (dependent_variable_entropy_actors_gender_homophily.isna()) | \n",
    "                                                                            (dependent_variable_entropy_actors_gender_homophily == np.inf) |\n",
    "                                                                            (dependent_variable_entropy_actors_gender_homophily == -np.inf))]\n",
    "\n",
    "adf_test(non_zero_homophily, \"Dependent Variable Entropy Actors Gender Homophily\")\n",
    "print(\"\\n\")\n",
    "kpss_test(non_zero_homophily, \"Dependent Variable Entropy Actors Gender Homophily\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "26f530f9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Augmented Dickey-Fuller Test for Dependent Variable Entropy Actors Gender Homophily:\n",
      "ADF Statistic: -5.215544578102226\n",
      "p-value: 8.171844332574851e-06\n",
      "Critical Values:\n",
      "   1%: -3.6327426647230316\n",
      "   5%: -2.9485102040816327\n",
      "   10%: -2.6130173469387756\n",
      "Reject null hypothesis: Data is stationary\n",
      "\n",
      "\n",
      "KPSS Test for Dependent Variable Entropy Actors Gender Homophily:\n",
      "KPSS Statistic: 0.43772523909325683\n",
      "p-value: 0.06089429349428586\n",
      "Critical Values:\n",
      "   10%: 0.347\n",
      "   5%: 0.463\n",
      "   2.5%: 0.574\n",
      "   1%: 0.739\n",
      "Fail to reject null hypothesis: Data is stationary\n"
     ]
    }
   ],
   "source": [
    "# Apply the ADF and KPSS tests to the data\n",
    "non_zero_homophily = dependent_variable_entropy_actors_gender_homophily[~((dependent_variable_entropy_actors_gender_homophily == 0) | \n",
    "                                                                            (dependent_variable_entropy_actors_gender_homophily.isna()) | \n",
    "                                                                            (dependent_variable_entropy_actors_gender_homophily == np.inf) |\n",
    "                                                                            (dependent_variable_entropy_actors_gender_homophily == -np.inf))]\n",
    "\n",
    "adf_test(non_zero_homophily, \"Dependent Variable Entropy Actors Gender Homophily\")\n",
    "print(\"\\n\")\n",
    "kpss_test(non_zero_homophily, \"Dependent Variable Entropy Actors Gender Homophily\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ed313ccd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Male Homophily Regression Statistics:\n",
      "{'slope': -0.003607858422234727, 'intercept': 8.07238480859017, 'r_squared': 0.4388485141761649, 'p_value': None}\n",
      "\n",
      "Female Homophily Regression Statistics:\n",
      "{'slope': 0.002616788965061887, 'intercept': -4.999645744152821, 'r_squared': 0.029262843868326782, 'p_value': None}\n",
      "\n",
      "Yearly Homophily Regression Statistics:\n",
      "{'slope': -0.0018776813162683901, 'intercept': 4.516072758321094, 'r_squared': 0.11109357374247442, 'p_value': None}\n"
     ]
    }
   ],
   "source": [
    "# Drop rows with missing values\n",
    "yearly_homophily.dropna(inplace=True)\n",
    "\n",
    "# Linear regression\n",
    "def calculate_regression_stats(x, y):\n",
    "    model = LinearRegression().fit(x.reshape(-1, 1), y)\n",
    "    slope = model.coef_[0]\n",
    "    intercept = model.intercept_\n",
    "    r_squared = model.score(x.reshape(-1, 1), y)\n",
    "    # p-value is not directly available in LinearRegression, so it's not included here\n",
    "    return {\n",
    "        'slope': slope,\n",
    "        'intercept': intercept,\n",
    "        'r_squared': r_squared,\n",
    "        'p_value': None  # Not available directly from LinearRegression\n",
    "    }\n",
    "\n",
    "male_regression_stats = calculate_regression_stats(np.array(male_homophily.index), male_homophily.values)\n",
    "female_regression_stats = calculate_regression_stats(np.array(female_homophily.index), female_homophily.values)\n",
    "yearly_regression_stats = calculate_regression_stats(np.array(yearly_homophily.index), yearly_homophily.values)\n",
    "\n",
    "print(\"\\nMale Homophily Regression Statistics:\")\n",
    "print(male_regression_stats)\n",
    "print(\"\\nFemale Homophily Regression Statistics:\")\n",
    "print(female_regression_stats)\n",
    "print(\"\\nYearly Homophily Regression Statistics:\")\n",
    "print(yearly_regression_stats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "8e9332f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filter the DataFrame to include only rows with \"m\" (males) and \"f\" (females)\n",
    "male_homophily = df_edges[df_edges['reviewer_gender'] == 'm'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "female_homophily = df_edges[df_edges['reviewer_gender'] == 'f'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "\n",
    "# Calculate yearly gender homophily\n",
    "yearly_homophily = df_edges.groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "\n",
    "# Create a figure and plot the gender homophily comparison\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(male_homophily.index, male_homophily.values, label='Male Homophily', color= \"cyan\", marker='o')\n",
    "plt.scatter(female_homophily.index, female_homophily.values, label='Female Homophily', color = \"orange\", marker='o')\n",
    "\n",
    "# Plot yearly gender homophily as a trendline\n",
    "plt.scatter(yearly_homophily.index, yearly_homophily.values, label='yearly Homophily', color='purple', marker= \"o\")\n",
    "\n",
    "# Add linear regression lines\n",
    "def plot_linear_regression_line(x, y, label, linestyle='solid', color= \"blue\"):\n",
    "    model = LinearRegression().fit(x.reshape(-1, 1), y)\n",
    "    y_pred = model.predict(x.reshape(-1, 1))\n",
    "    plt.plot(x, y_pred, label=label, linestyle= linestyle, color=color, alpha= 0.75)\n",
    "\n",
    "# Calculate and plot linear regression lines\n",
    "plot_regression_line(np.array(male_homophily.index), male_homophily.values, 'Male Homophily Linear Regression', color=\"cyan\", linestyle='--')\n",
    "plot_regression_line(np.array(female_homophily.index), female_homophily.values, 'Female Homophily Linear Regression', color=\"orange\",linestyle='--')\n",
    "plot_regression_line(np.array(yearly_homophily.index), yearly_homophily.values, 'Overall Homophily Linear Regression',color= \"purple\",linestyle='--')\n",
    "\n",
    "plt.title('Comparison of Reviewers Gender Homophily with Trends')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Gender Homophily (Proportion)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "3a8237a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Male Homophily:\n",
      "  Slope: -0.003607858422234727\n",
      "  Intercept: 8.07238480859017\n",
      "  R-squared: 0.4388485141761649\n",
      "  p-value: 1.0762276458527952e-05\n",
      "  Standard Error: 0.0006996692232382583\n",
      "\n",
      "Female Homophily:\n",
      "  Slope: 0.002616788965061887\n",
      "  Intercept: -4.999645744152821\n",
      "  R-squared: 0.029262843868326782\n",
      "  p-value: 0.31850342065473514\n",
      "  Standard Error: 0.0025847693943665587\n",
      "\n",
      "Global Homophily:\n",
      "  Slope: -0.0018776813162683901\n",
      "  Intercept: 4.516072758321094\n",
      "  R-squared: 0.11109357374247442\n",
      "  p-value: 0.04698048145721706\n",
      "  Standard Error: 0.0009108900968055891\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filter the DataFrame to include only rows with \"m\" (males) and \"f\" (females)\n",
    "male_homophily = df_edges[df_edges['reviewer_gender'] == 'm'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "female_homophily = df_edges[df_edges['reviewer_gender'] == 'f'].groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "\n",
    "# Calculate yearly gender homophily\n",
    "yearly_homophily = df_edges.groupby('year').apply(lambda group: (group['reviewer_gender'] == group['author_gender']).mean())\n",
    "\n",
    "# Create a figure and plot the gender homophily comparison\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(male_homophily.index, male_homophily.values, label='Male Homophily', color= \"cyan\", marker='o')\n",
    "plt.scatter(female_homophily.index, female_homophily.values, label='Female Homophily', color = \"orange\", marker='o')\n",
    "\n",
    "# Plot yearly gender homophily as a trendline\n",
    "plt.scatter(yearly_homophily.index, yearly_homophily.values, label='Global Homophily', color='purple', marker= \"o\")\n",
    "\n",
    "# Add linear regression lines\n",
    "def plot_linear_regression_line(x, y, label, linestyle='solid', color= \"blue\"):\n",
    "    model = LinearRegression().fit(x.reshape(-1, 1), y)\n",
    "    slope = model.coef_[0]\n",
    "    intercept = model.intercept_\n",
    "    y_pred = model.predict(x.reshape(-1, 1))\n",
    "    plt.plot(x, y_pred, label=label, linestyle= linestyle, color=color, alpha= 0.75)\n",
    "    return slope, intercept, model.score(x.reshape(-1, 1), y), linregress(x, y).pvalue, linregress(x, y).stderr\n",
    "\n",
    "# Calculate and plot linear regression lines\n",
    "male_slope, male_intercept, male_r_squared, male_p_value, male_stderr = plot_linear_regression_line(np.array(male_homophily.index), male_homophily.values, 'Male Homophily LR', color=\"cyan\", linestyle='--')\n",
    "female_slope, female_intercept, female_r_squared, female_p_value, female_stderr = plot_linear_regression_line(np.array(female_homophily.index), female_homophily.values, 'Female Homophily LR', color=\"orange\", linestyle='--')\n",
    "global_slope, global_intercept, global_r_squared, global_p_value, global_stderr = plot_linear_regression_line(np.array(yearly_homophily.index), yearly_homophily.values, 'Global Homophily LR',color= \"purple\", linestyle='--')\n",
    "\n",
    "# Print the regression statistics\n",
    "print(\"Male Homophily:\")\n",
    "print(\"  Slope:\", male_slope)\n",
    "print(\"  Intercept:\", male_intercept)\n",
    "print(\"  R-squared:\", male_r_squared)\n",
    "print(\"  p-value:\", male_p_value)\n",
    "print(\"  Standard Error:\", male_stderr)\n",
    "\n",
    "print(\"\\nFemale Homophily:\")\n",
    "print(\"  Slope:\", female_slope)\n",
    "print(\"  Intercept:\", female_intercept)\n",
    "print(\"  R-squared:\", female_r_squared)\n",
    "print(\"  p-value:\", female_p_value)\n",
    "print(\"  Standard Error:\", female_stderr)\n",
    "\n",
    "print(\"\\nGlobal Homophily:\")\n",
    "print(\"  Slope:\", global_slope)\n",
    "print(\"  Intercept:\", global_intercept)\n",
    "print(\"  R-squared:\", global_r_squared)\n",
    "print(\"  p-value:\", global_p_value)\n",
    "print(\"  Standard Error:\", global_stderr)\n",
    "\n",
    "plt.title('Comparison of Reviewers Gender Homophily with Linear Regressions (LR)')\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Gender Homophily (Proportion)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "69a4ff62",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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